Search a number
-
+
189710496 = 25324315319
BaseRepresentation
bin10110100111011…
…00000010100000
3111012222021212200
423103230002200
5342031213441
630454053200
74462340553
oct1323540240
9435867780
10189710496
11980a5338
125364a200
13303c3a41
141b2a469a
15119c57b6
hexb4ec0a0

189710496 has 72 divisors (see below), whose sum is σ = 552071520. Its totient is φ = 61762176.

The previous prime is 189710491. The next prime is 189710503. The reversal of 189710496 is 694017981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (189710491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4725 + ... + 20043.

It is an arithmetic number, because the mean of its divisors is an integer number (7667660).

Almost surely, 2189710496 is an apocalyptic number.

189710496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189710496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276035760).

189710496 is an abundant number, since it is smaller than the sum of its proper divisors (362361024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

189710496 is a wasteful number, since it uses less digits than its factorization.

189710496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15378 (or 15367 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 189710496 is about 13773.5433349592. The cubic root of 189710496 is about 574.5975719766.

The spelling of 189710496 in words is "one hundred eighty-nine million, seven hundred ten thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 12384 15319 30638 45957 61276 91914 122552 137871 183828 245104 275742 367656 490208 551484 658717 735312 1102968 1317434 1470624 1976151 2205936 2634868 3952302 4411872 5269736 5928453 7904604 10539472 11856906 15809208 21078944 23713812 31618416 47427624 63236832 94855248 189710496